Position vectors of a timelike and a null helix in Minkowski 3-space

In this paper, we study the position vectors of a timelike and a null helix (or a W  -curve), i.e. curve with constant curvatures in the Minkowski 3-space E13. We give some characterizations for timelike and null helix whose image lies on the Lorentzian sphere S12 or pseudo-hyperbolical space H02 by using the positions vectors of the curve.